Question

Fill in the blanks below so the answer is x = 3

X +
= 10
Help please I’m in a test rn btw

Answer 1

3 and 1

Explanation:

To make this equation true you have to fill in the blank spots so x is 3

So I simply multiplied 3 times x which is 3x+ blank is 10

if I want x to be 3 then I fill in the blank for 1

now I do additive inverse to get the x by itself

subtract 1 on both sides

the equation is now 3x=9

Divide 3 in each sides and x=3

Answer 2

1x + 7 = 10

-4x + 22 = 10

Explanation:

Equations

We are given the following expression:

__x + __ = 10

Where the spaces must be filled with any value that makes x=3 the solution to the equation.

Let's call a and b the variables to fill up the spaces:

ax + b = 10

For x=3, the following equation must stand:

3a + b = 10

Any combination of a and b that makes true the above equation will solve the problem. Let's solve for b:

b = 10 - 3a

Make a=1, thus b = 10 - 3 = 7

So the equation:

1x + 7 = 10

Has the solution x=3

For a = -4, b = 10+12 = 22

Another combination is:

-4x + 22 = 10